Challenge

Project 1

Aim:- Analysis & Design raft foundation of a box culvert bridge having 12 M span and 5.5 M height in STAAD pro and applying loads as per IRC 6.

Que 1) Calculate the loads to be applied on the box as per IRC 6.

Given Data:-

  • The span of structure = 12 M
  • Height of structure = 5.5 M
  • Safe bearing capacity of soil = 80 kN/m2
  • Wearing coat fill on structure = 1.5 M
  • Haunch size = 200 x 200 MM
  • Soil density = 18 kN/m3
  • Concrete M35
  • Steel Fe500

Assumption and Design Data:-

Span in model = 12.7 M

Height of structure = 6.15 M

No. of Cell = 1
Clear Span (skew) = 12.00 M
Clear Height at outer edge = 5.50 M
Clear Height at median edge = 5.50 M
Width of Box = 12.50 M
Carriage Width = 11.50 M
Width of crash barrier = 0.50 M
Width of Haunch = 0.20 M
Depth of Haunch = 0.20 M
Depth of top slab = 0.60 M
Depth of bottom slab = 0.70 M
Depth of External Vertical wall = 0.70 M
Safe Bearing capacity = 80.00 KN/m2
Allowable Settlement = 75.00 mm
Spring Constanrt = 1066.67 KN/m3
Density of concrete = 25.00 KN/m3
Bulk Density of soil = 18.00 KN/m3
Density of submerge soil = 10.00 KN/m3
Density of profile corrective course = 25.00 KN/m3
Density of fill = 18.00 KN/m3
Coefficient of earth pressure at rest = 0.50
Maximum air shade temp. = 40.00 0/C
Minimum air shade temp. = 12.50 0/C
Max Live Load on box for breaking force calculation = 700.00 KN
Design parameter
Grade of Concrete = M 35
Grade of Steel = Fe 500
Clear cover for earth face structural component = 75 mm
Clear cover for inside face structural component = 50 mm
Clear Cover for foundation = 75 mm
Data for STAAD input
No. of division of Bottom Slab = 10

Procedure Creating 2D STAAD model

Creating a 2D model using a grid model with appropriate dimensions. For making a frame considering the centerline from both sides and assign proper distance nodes for haunches. after that we need to assign the properties to the structure with appropriate size. then we need to assign the support as fix but support then adding spring constant using calculation. spring constant calculated on the basis of safe bearing capicapity of soil.

Model Creating.

Assigning Material Properti.



Assigning Support




3D Model

Assigning Loads on the model.

1. Dead Load

Step for assigning dead load.

Loading -> Load Case details -> Add -> Creat title as "Dead Load' -> Add -> stelect dead load and add again -> self weight -> Factor -1 -> Add -> Assign to view -> Assign.

2. SIDL

Super Imposed Dead Load
Thickness of W.C + profile correction course = 1.5 m
Load (UDL) on top slab = 37.5 KN/m
Height of fill = 0 m
Load (UDL) Load on top slab = 0 KN/m
Total SIDL load on top slab = 37.5 KN/m

Step for assigning SIDL load n STADD.pro

Loading -> Load Case detail -> Add -> Create title as "SIDL" -> Add -> select SIDL and add again -> Member Load -> uniform force -> W1 37.5 direction as GY -> Add -> Select top member then select load -> Assign to selected beam -> assign.

3. Earth Pressure Load.

considering value,

At rest pressure is (Ka) 0.5

The density of soil is 18 kN/m3

Earth pressure
Thickness of top slab = 0.60 m
Height of top hunch = 0.20 m
Clear height between top & bottom slab = 5.50 m
Height of bottom hunch = 0.20 m
Thickness of bottom slab = 0.70 m
Height from top
(M)
Intensity of Earth pressure
(KN/m2)
1.40 1.40 = 12.60
0.30 1.70 = 15.30
0.20 1.90 = 17.10
5.05 6.95 = 62.55
0.20 7.15 = 64.35
0.35 7.50 = 67.50

Step for assigning load on model

Loading > Load Case detail > Add > Create title as "Earth pressure" > Add > Select Earth Pressure load and add again > Member Load > Hyrdostatic > W1 = 67.50 and W2 = 12.60 diection as GX > Add > first select member then select load > Assign to selected beam > assign.

Repeat same procedure for all the member by changing the value of W1 and W2. in both the side

4. Live Load surcharge

Calculating Live Load surcharge.

Value assumption,

Coefficient of lateral earth pressure (K) is 0.5

Density of soil is (Y) 18 kN/m3

Equivalent height of soil for vehicular loading which shall be (h) 1.2 M.

`Delta`= k x y x h

Live Load surcharge
Uniform Intensity of loading = 10.8 KN/m2

Below steps for assigning load on model.

Loading -> Load Case detail -> Add -> Creat title as "Live Load surcharge" -> Add -> select Live Load surcharge and add again -> Member Load -> uniform force -> W1 10.8 direction as GX -> Add -> first select member then select load -> Assign to selected beam -> assign.

Repeating same procedure for different direction but value of W1 is -10.8.

Left Side

Right Side

5. Braking Forces.

Max Live Load on box ( for 2 lanes) is 700 kN/m2

Width of the box is 12.50 M

Total Braking force is 14 kN.

Below step for assigning braking force to STAAD model.

Loading -> Load Case detail -> Add -> Create title as "Braking Load" -> Add -> select Braking Load and add again -> Nodel load -> Fx = 14. -> add -> first select top node then select load -> Assign to selected node -> assign.

Repeat same procedure for different side whose node value of Fx is -14.

Left Side

Right Side

6. Temperature Load.

2.6 Temperature
Maximum effective bridge temp = 40.00 C
Minimum effective bridge temp = 12.50 C

Effective Temperature Difference.

= (40 - 12.50)/2 + 10

= 13.75 + 10

  • Temperature Rise is = 23.75.

Steps for assigning Load.

Loading -> Load Case detail -> Add -> Create title as "Temperature Load Rise" -> Add -> select Temperature Load (Rise) and add again -> Tempreature Load -> Temperatures -> Temp change elongation =23.75 -> Add -> first select member then select load -> Assign to selected beam -> assign.

  • Temperature Fall is = -23.75.

Steps for assigning Load.

Loading -> Load Case detail -> Add -> Creat title as "Temperature Load Fall" -> Add -> stelect Temperature Load (Fall) and add again -> Tempreature Load -> Temperatures -> Temp change elongation =-23.75 -> Add -> first select member then select load -> Assign to selected beam -> assign.

  • Temperature Gradient (Rise)

TEMPERATURE RISE CASE
Member Description h h1 h2 h3 T1 T2 T3
(m) (m) (m) (m) / C / C / C
Top Slab 0.6 0.15 0.18 0.15 17.8 4 2.1
Member Description E a t S1 S2 S3 F1 F2 F3 F
T / m2 T / m2 T / m2 T T T T
Top Slab 683.52 153.60 80.64 56.96 12.80 6.72 76.48
Member Description CG of Section fromTop CG of
Section
From
CG of TOP
BLOCK from
Top
CG of MID
BLOCK from
Top
CG of BOTTOM
BLOCK from
BOTTOM
x1 x2 x3 M
m m m T-m
Top Slab 0.3 0.3 0.0601 0.21 0.05 0.2399 0.09 0.25 13.13717431

Steps for assigning Load.

Loading -> Load Case detail -> Add -> Create title as "Temperature Gradient (Rise)" -> Add -> select Temperature Gradient (Rise) and add again -> Nodal load -> Node -> Fx = 76.48 -> Add -> Mz = 13.14 -> (Again for other direction node) Fx = -76.48 & Mz - 13.14 -> Add -> select induidal node then select load -> Assign to selected node -> assign.

  • Temperature Gradient (Fall)

TEMPERATURE RISE CASE
Member Description h h1 h2 h3 h4 T1 T2 T3 T4
(m) (m) (m) (m) (m) / C / C / C / C
Top Slab 0.6 0.12 0.15 0.15 0.12 10.6 0.7 0.8 6.6
Member Description E a t S1 S2 S3 S4 F1 F2 F3 F4 F
T / m2 T / m2 T / m2 T / m3 T T T T T
Top Slab 407.04 26.88 30.72 253.44 26.04 2.02 2.30 17.0496 47.40
Member Description CG of Section fromTop CG of
Section
From
CG of TOP
BLOCK from
Top
CG of MID
BLOCK from
Top
CG of MID
BLOCK from
Bottom
CG of BOTTOM
BLOCK from
BOTTOM
x1 x2 x3 x4 M
m m m m T-m
Top Slab 0.3 0.3 0.0395 0.17 0.17 0.05 0.2605 0.13 0.13 0.25 2.4822144

Steps for assigning Load.

Loading -> Load Case detail -> Add -> CreatE title as "Temperature Gradient (Fall)" -> Add -> select Temperature Gradient (Fall) and add again -> Nodal load -> Node -> Fx = 47.40 -> Add -> Mz = 2.49 -> (Again for other direction node) Fx = -47.40 & Mz - 2.49 -> Add -> select induidal node then select load -> Assign to selected node -> assign.

Analysis:

Analysis and Design > Click 'Define Commands' > Select "Perform Analysis" > Add > Click 'Run Analysis'

Zero Errors found:

Que 2) Live load analysis and effective width calculation for 70 R and Class A to be done.

For the 70 R &b Class A loading we have to make another new model in STADD.Pro, for making model repeating same procedure as mention above size and properties also same.

Calculating Load of Class 70 R vehical loading.

One no of 70 R tracked
Carriageway Live Load = 700 KN
Transverse eccentr of live load = 3.1 m
Transverse Movement = 2170 KNm
UDL due to ecc. Of CWLL = 7.31 KN/m
Longitudinal eccentr of live load = 2.215 m
Longitudinal Movement = 1550.5 KNm
UDL due to ecc. Of CWLL = 5.73 KN/m
Two no of 70 R tracked
Carriageway Live Load = 1400 KN
Transverse eccentr of live load = 0.35 m
Transverse Movement = 490 KNm
UDL due to ecc. Of CWLL = 1.65 KN/m
Longitudinal eccentr of live load = 2.215 m
Longitudinal Movement = 3101
UDL due to ecc. Of CWLL = 11.45
1 Design Data
No. of Cell = 1
Clear Span (skew) = 12.00 m
Clear Height at outer edge = 5.50 m
Width of Box = 12.50 m
Carriage Width = 11.50 m
Width of crash barrier = 0.50 m
Width of footpath / safty kerd = 0.00 m
Width of Haunch = 0.20 m
Depth of Haunch = 0.20 m
Thickness of waring coat = 1.50 m
Thickness of fill over top slab excluding wearing coat = 0.00 m
Depth of top slab = 0.60 m
Depth of bottom slab = 0.70 m
Depth of External Vertial wall = 0.70 m
For 70 R - Tracked
Clear distance = 1.2 m
Width of track (transverse to traffic direction) = 0.84 m
Width of track (along traffic direction) = 4.57 m
Total width of vehical = 2.9 m
Width center to center of wheel = 2.06 m
For 70 R - Tracked
Impact factor
Impact factor = 10.0 % 1.10
Effective Dispersion Width
Dispersion of loads through fills and wearing coat ( at 45degree angle)
b = tyre width along traffic flow = 4.57 m
wc = wearing coat = 1.50 m
d = effective depth of slab = 0.60 m
s = thickness of soil above box = 0.00 m
Hence, dispersion width = 8.77 m
Calculation of effective width
k = constant depending on b/lo = 2.335
lo = effective span = 12.7 m
x = Distance of center fo gravity from nearest support = 6.35 m
x = Distance of center fo gravity from nearest support = 2.285 m
b = tyre width across traffic flow = 0.84 m
wc = wearing coat = 0 m
bt = width of tyre + 2 x thickness of w.c = 3.84 m
Hence, beff for max movement case = 6.508 m
Hence, beff for max vertical load case = 8.77 m
For 70 R - Tracked = 770 KN
Pressureon top slab :
(i) Maximum movement case :
UDL due to live load = 12.66 KN/m2
dispersion length of live load in longitudinal direction = 8.77 m
transverse dispersion = 6.93 m
(ii) Maximum vertical load on wall :
UDL due to live load = 14.314 KN/m2
dispersion length of live load in longitudinal direction = 6.67 m
transverse dispersion = 8.07 m

Steps for assigning Load.

Loading -> Load Case detail -> Add -> Create title as "70 R Tracked" -> Add -> select 70 R Tracked and add again -> member load -> Uniform force -> W1= -12.66 & d1 = 0, d2 = 4.385 -> first select member then select load -> Assign to selected beam -> assign.

Repeat Same procedure for other member with d1 = 1.615, d2 = 6.

  • Maximum moment case

  • Maximum vertical load on wall

For Class - A
Clear distance = 0.150 m
Width of track (transverse to traffic direction) = 0.500 m
Width of track (along traffic direction) = 4.397 m
Total width of vehical = 1.800 m
Width center to center of wheel = 1.300 m
For Class - A Loading
Impact factor
Impact factore = 20 % 1.20
Effective Dispersion Width
Dispersion of loads through fills and wearing coat ( at 45degree angle)
b = tyre width along traffic flow = 4.397 m
wc = wearing coat = 1.5 m
d = effective depth of slab = 0.60 m
s = thickness of soil above box = 0.00 m
Hence, dispersion width = 8.597 m
Calculation of effective width
k = constant depending on b/lo = 2.335
lo = effective span = 12.5 m
x = Distance of center fo gravity from nearest support = 5.1 m
x = Distance of center fo gravity from nearest support = 2.199 m
b = tyre width across traffic flow = 0.5 m
wc = wearing coat = 0 m
bt = width of tyre + 2 x thickness of w.c = 3.5 m
Hence, beff for max movement case = 13.31 m
Hence, beff for max vertical load case = 8.597 m
For Class A Loading 554 KN
Pressureon top slab :
(i) Maximum movement case :
Class- A loading is disperseed with overlapping in both the direction
UDL due to live load = 6.67 KN/m2
Longitudinal dispersion = 10.90 m
transverse dispersion = 9.15 m
(ii) Maximum vertical load on wall :
UDL due to live load = 9.84 KN/m2
dispersion length of live load in longitudinal direction = 8.80 m
transverse dispersion = 7.68 m

Steps for assigning load on structure is same as mention above.

  • Maximum movement case

  • Maximum vertical load on wall

Analysis:

Analysis and Design > Click 'Define Commands' > Select "Perform Analysis" > Add > Click 'Run Analysis'

Zero Errors found:

Result

  • Maximum Movemet Case of Vehical Load Case

  • Maximum Shear Case of Vehical Live Load

Que 3) Make Load combinations as per IRC 6 for ULS, SLS rare and quasi

Making combination for finding maximum bending movement case and shear force case of each member.

Combination For Ultimate Limit State case.

Dead Load ,SIDL , Earth Pressure, Live Load Surcharge ( Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side)
1.35 1.35 1 1.2
2 DL + SIDL + EP Load + LL - S (Lefth Side)
1.35 1.35 1 1.2
3 DL + SIDL + EP Load + LL - S (Right Side)
1.35 1.35 1 1.2
Dead Load ,SIDL , Earth Pressure, Live Load Surcharge, Temp Rise ( Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Rise
1.35 1.35 1 1.2 0.9
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Rise
1.35 1.35 1 1.2 0.9
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Rise
1.35 1.35 1 1.2 0.9
Dead Load ,SIDL , Earth Pressure, Live Load Surcharge, Temp Fall ( Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Fall
1.35 1.35 1 1.2 0.9
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Fall
1.35 1.35 1 1.2 0.9
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Fall
1.35 1.35 1 1.2 0.9
Dead Load ,SIDL , Earth Pressure, Live Load Surcharge, Temp Gradient Rise ( Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gradient Rise
1.35 1.35 1 1.2 0.9
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gradient Rise
1.35 1.35 1 1.2 0.9
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gradient Rise
1.35 1.35 1 1.2 0.9
Dead Load ,SIDL , Earth Pressure, Live Load Surcharge, Temp Gradient Fall ( Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gradient Fall
1.35 1.35 1 1.2 0.9
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gradient Fall
1.35 1.35 1 1.2 0.9
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gradient Fall
1.35 1.35 1 1.2 0.9
Dead Load (Relieving) ,SIDL , Earth Pressure ( Leading) , Live Load Surcharge
1 DL + SIDL + EP Load + LL - S (Both Side)
1 1 1.5 1.2
2 DL + SIDL + EP Load + LL - S (Lefth Side)
1 1 1.5 1.2
3 DL + SIDL + EP Load + LL - S (Right Side)
1 1 1.5 1.2
Dead Load (Relieving) ,SIDL , Earth Pressure ( Leading), Live Load Surcharge, Temp Rise ( Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Rise
1 1 1.5 1.2 0.9
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Rise
1 1 1.5 1.2 0.9
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Rise
1 1 1.5 1.2 0.9
Dead Load (Relieving) ,SIDL , Earth Pressure ( Leading), Live Load Surcharge, Temp Fall ( Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Fall
1 1 1.5 1.2 0.9
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Fall
1 1 1.5 1.2 0.9
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Fall
1 1 1.5 1.2 0.9
Dead Load (Relieving) ,SIDL , Earth Pressure ( Leading) , Live Load Surcharge, Temp Gredient (Rise)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gradient Rise
1 1 1.5 1.2 0.9
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gradient Rise
1 1 1.5 1.2 0.9
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gradient Rise
1 1 1.5 1.2 0.9
Dead Load (Relieving) ,SIDL , Earth Pressure ( Leading) , Live Load Surcharge, Temp Gredient (Fall)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gredient (Fall)
1 1 1.5 1.2 0.9
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gredient (Fall)
1 1 1.5 1.2 0.9
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gredient (Fall)
1 1 1.5 1.2 0.9
Dead Load (Relieving) ,SIDL , Earth Pressure ( Accomplying) , Live Load Surcharge, Temp Rise (Leading)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Fall
1 1 1 1.2 1.5
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Fall
1 1 1 1.2 1.5
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Fall
1 1 1 1.2 1.5

Results.

  • Maximum Movemet Case for ULS combination.

  • Maximum Shear Case for ULS Combination.

FORCE SUMMARY (ULS)
5.1 Ultimate Limit State (ULS)
LL model ULS model
Live Load
case
(unfactored)
from STAAD
output
Normal Load
case
(factored)
from STAAD
output
Normal Load
Case + Live
Load
Design Values
Movement
(kN-m)
Shear at
D dist KN
Movement
(kN-m)
Shear at
D dist KN
Movement
(kN-m)
Shear at
D dist KN
Movement
(kN-m)
Shear at
D dist KN
21 Mid top 0
Mid bot 106.897 652 758.897 758.897
4 & 6 Support top 123.904 721 445.893 844.904 445.893 844.904 445.893
Support bot 0
17 & 19 Outside 123.904 719.442 156.57 843.346 156.57 843.346 156.57
Inside 0
15 Outside 98.322 723.196 821.518 821.518
Inside 0
13 & 2 Outside 77.13 829.35 276.456 906.48 276.456 906.48 276.456
Inside 0
1 & 5 Support top 57.04 842.62 428.307 899.66 428.307 899.66 428.307
Support bot 72.74 678.313 751.053
7 , 22 & 23 top 79.54 759.799 839.339 839.339
bottom 0

Combination For Ultimate Serviceability Limit State ( Rare Combination)

Dead Load ,SIDL , Earth Pressure ( Leading) , Live Load Surcharge
1 DL + SIDL + EP Load + LL - S (Both Side)
1 1 1 0.8
2 DL + SIDL + EP Load + LL - S (Lefth Side)
1 1 1 0.8
3 DL + SIDL + EP Load + LL - S (Right Side)
1 1 1 0.8
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Rise (Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Rise (Accompanying)
1 1 1 0.8 0.6
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Rise (Accompanying)
1 1 1 0.8 0.6
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Rise (Accompanying)
1 1 1 0.8 0.6
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Fall (Acompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Fall
1 1 1 0.8 0.6
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Fall
1 1 1 0.8 0.6
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Fall
1 1 1 0.8 0.6
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Gradient Rise (Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gradient Rise (Accompanying)
1 1 1 0.8 0.6
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gradient Rise (Accompanying)
1 1 1 0.8 0.6
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gradient Rise (Accompanying)
1 1 1 0.8 0.6
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Gradient Fall (Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gradient Fall (Accompanying)
1 1 1 0.8 0.6
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gradient Fall (Accompanying)
1 1 1 0.8 0.6
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gradient Fall (Accompanying)
1 1 1 0.8 0.6
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Rise (Leading)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Rise (Leading)
1 1 1 0.8 1
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Rise (Leading)
1 1 1 0.8 1
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Rise (Leading)
1 1 1 0.8 1
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Fall (Leading)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Fall (Leading)
1 1 1 0.8 1
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Fall (Leading)
1 1 1 0.8 1
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Fall (Leading)
1 1 1 0.8 1
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Gradient Rise (Leading)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gradient Rise (Leading)
1 1 1 0.8 1
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gradient Rise (Leading)
1 1 1 0.8 1
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gradient Rise (Leading)
1 1 1 0.8 1
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Gradient Fall (Leading)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gradient Fall (Leading)
1 1 1 0.8 1
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gradient Fall (Leading)
1 1 1 0.8 1
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gradient Fall (Leading)
1 1 1 0.8 1

Result Maximum Case.

Normal Load Case.

Normal Load Case + Temp (Accompanying).

Normal Load Case + Temp (Leading).

FORCE SUMMARY (SLS)
5.2 Servicebility Limit State
5.2.1 Rare Combination LL model SLS (rare) model SLS (rare) model SLS (rare) model
Live Load
case
(unfactored)
from STAAD
output
Normal Load
case
(factored)
from STAAD
output
Normal Load
Case + Live
Load
Normal Load
Case With
Temperature
Load
(Accomp)
Normal Load
Case With
Temperature +
Live Load
(Accomp)
Normal Load
Case With
Temperature
Load
(Leading)
Normal Load
Case With
Temperature +
Live Load
(Leading)
Design
Value
Moment kN-N Moment kN-N Moment kN-N Moment kN-N Moment kN-N Moment kN-N Moment kN-N Moment kN-N
21 Mid top 0
Mid bot 106.897 469.278 576.175 475.437 582.334 481.501 588.398 588.398
4 & 6 Support top 123.904 572.364 696.268 544.737 668.641 538.673 662.577 696.268
Support bot 0
17 & 19 Outside 123.904 572.395 696.299 543.297 667.201 537.233 661.137 696.299
Inside 0
15 Outside 98.322 500 598.322 496.946 595.268 498.276 596.598 598.322
Inside 0
13 & 2 Outside 77.13 803.137 880.267 831.058 908.188 839.782 916.912 916.912
Inside 0 0
1 & 5 Support top 57.04 715 772.04 622.1 679.14 614.784 671.824 772.04
Support bot 72.74 803.137 875.877 831.519 904.259 840.234 912.974 912.974
7 , 22 & 23 top 79.54 769 848.54 779.478 859.018 771.439 850.979 859.018
bottom 0

Combination For Ultimate Serviceability Limit State ( Quasi Combination)

Dead Load ,SIDL , Earth Pressure ( Leading) , Live Load Surcharge
1 DL + SIDL + EP Load + LL - S (Both Side)
1 1 1 0
2 DL + SIDL + EP Load + LL - S (Lefth Side)
1 1 1 0
3 DL + SIDL + EP Load + LL - S (Right Side)
1 1 1 0
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Rise (Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Rise (Accompanying)
1 1 1 0 0.5
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Rise (Accompanying)
1 1 1 0 0.5
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Rise (Accompanying)
1 1 1 0 0.5
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Fall (Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Fall (Accompanying)
1 1 1 0 0.5
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Fall (Accompanying)
1 1 1 0 0.5
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Fall (Accompanying)
1 1 1 0 0.5
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Gradient Rise (Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gradient Rise (Accompanying)
1 1 1 0 0.5
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gradient Rise (Accompanying)
1 1 1 0 0.5
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gradient Rise (Accompanying)
1 1 1 0 0.5
Dead Load ,SIDL , Earth Pressure , Live Load Surcharge, Temp Gradient Fall (Accompanying)
1 DL + SIDL + EP Load + LL - S (Both Side) + Temp Gradient Fall (Accompanying)
1 1 1 0 0.5
2 DL + SIDL + EP Load + LL - S (Lefth Side) + Temp Gradient Fall (Accompanying)
1 1 1 0 0.5
3 DL + SIDL + EP Load + LL - S (Right Side) + Temp Gradient Fall (Accompanying)
1 1 1 0 0.5

Result Maximum Case.

Normal Load Case.

Normal Load Case + Temp (Accompanying).

FORCE SUMMARY (SLS)
5.2 Servicebility Limit State
5.2.1 Quas-Permanent Combination LL model SLS (quasi) model SLS (quasi) model SLS (quasi) model
Live Load
case
(unfactored)
from STAAD
output
Normal Load
case
(factored)
from STAAD
output
Normal Load
Case + Live
Load
Normal Load
Case With
Temperature
Load
(Accomp)
Normal Load
Case With
Temperature +
Live Load
(Accomp)
Normal Load
Case With
Temperature
Load
(Leading)
Normal Load
Case With
Temperature +
Live Load
(Leading)
Design
Value
Moment kN-N Moment kN-N Moment kN-N Moment kN-N Moment kN-N Moment kN-N Moment kN-N Moment kN-N
21 Mid top 0
Mid bot 106.897 469.278 576.175 476.859 583.756 469.278 576.175 583.756
4 & 6 Support top 123.904 572.364 696.268 564.814 688.718 572.364 696.268 696.268
Support bot 0
17 & 19 Outside 123.904 572.395 696.299 584.818 708.722 572.395 696.299 708.722
Inside 0
15 Outside 98.322 500 598.322 501.138 599.46 500 598.322 599.46
Inside 0
13 & 2 Outside 77.13 803.137 880.267 814.011 891.141 803.137 880.267 891.141
Inside 0
1 & 5 Support top 57.04 715 772.04 638.88 695.92 715 772.04 772.04
Support bot 72.74 803.137 875.877 814.041 886.781 803.137 875.877 886.781
7 , 22 & 23 top 79.54 796.034 875.574 785.991 865.531 796.034 875.574 875.574
bottom 0

Que 4) Do checks for ULS,SLS rare and quasi and present a hand calculation. & Also calculate the anchorage length of the bars and minimise the bars wherever you can.

Sample Calculaion for Member 21
Maximum BM under Basic combination = 759.00 kN-m 0.759 759000
Maximum SF = VNS 446.00 kN
Depth of member = D 600.00 mm
Width of the member = b 1000.00 mm 1
Grade of Concrete Used = M35
Grade of Steel = Fe500
Charactristic strength of concrete = Fck 35.00 Mpa
Charactristic strength of steel = Fy 500.00 Mpa
Tensile strength of steel = Fctm 2.80 Mpa
Design yeild strenght of shear reinforcement = Fywd 347.83 Mpa
Partial material safety factor for concrete = gm 1.50 Basic
Partial material safety factor for steel = gs 1.15 Basic
Ultimate compressive strain in concrete = ϵcu3 0.00350 Up to Fck
Modulus of elasticty of reinforcement of steel = Es 200000.00 Mpa
Modulus of elasticty of concrete = Ecm 32000.00 Mpa
Modular ratio = ɑe 6.25
Long term modular ration = ɑe 12.50
Ultimate tensile strain in the steel = ϵs 0.00217
Coefficient to consider the influence of the concrete strength = a 0.67 Cube
Factor = l 0.80
Factor = h 1.00
Design value of concrete compressive strength = fcd 15.63
Factor = Fav 12.51
Factor = β 0.40
Effective depth of member = d 600.00 mm
= 540.00 mm 0.54
= Kav 0.21
Limiting Neutral axis depth = Xlim 333.10 mm
= X 123.72 mm < 333.1034
Required reinforcement = As 3558.94 mm2
Provide 12 Nos 20.00 mm 314
Provide renforcement = 3768.00 mm2 > 3558.944
Netral axis deth = x 130.99 mm < 333.1034
Xlim/d = 0.62
Rlim = 5.81
Effective depth required, drequired 361.40 mm
Effective depth provided, dprovided 540.00 mm
Shear design for member
Vns
Shear force VEd = 78633.14516 > 446
Where v is a strenght reduction factor = 18.62903226
Longitudinal force (NED) = 0
Where
K = 1.608580619
Vmin = 0.374162246
σcp = 0 <= 3.12666667
ρ1 = 0.081 <= 0.02
= 141433.329
=
Sin2Ө = 0.176 312200 1772820
SLS - Rare
Given Data
Model Calculation for Member
Maximum BM under Basic combination = 588.40 kN-m 0.588 588000
Maximum SF = VNS 446.00 kN
Depth of member = D 600.00 mm
Width of the member = b 1000.00 mm 1
Grade of Concrete Used = M35
Grade of Steel = Fe500
Charactristic strength of concrete = Fck 35.00 Mpa
Charactristic strength of steel = Fy 500.00 Mpa
Tensile strength of steel = Fctm 2.80 Mpa
Design yeild strenght of shear reinforcement = Fywd 347.83 Mpa
Partial material safety factor for concrete = gm 1.50 Basic
Partial material safety factor for steel = gs 1.15 Basic
Ultimate compressive strain in concrete = ϵcu3 0.00 Up to Fck
Modulus of elasticty of reinforcement of steel = Es 200000.00 Mpa
Modulus of elasticty of concrete = Ecm 32000.00 Mpa
Modular ratio = ɑe 6.25
Long term modular ration = ɑe 12.50
Ultimate tensile strain in the steel = ϵs 0.00
Coefficient to consider the influence of the concrete strength = a 0.67 Cube
Factor = l 0.80
Factor = h 1.00
Design value of concrete compressive strength = fcd 15.63
Factor = Fav 12.51
Factor = β 0.40
Effective depth of member = d 600.00 mm
= 540.00 mm 0.54
= Kav 0.16
Limiting Neutral axis depth = Xlim 333.10 mm
= X 93.55 mm < 333.1034
Required reinforcement = As 2690.91 mm2
Provide 14 Nos 16 mm 200.96
Provide renforcement = 2813.44 mm2 > 2690.908
Netral axis deth = x 97.81 mm < 333.1034
Xlim/d = 0.62
Rlim = 5.81
Effective depth required, drequired 318.09 mm
Effective depth provided, dprovided 540 mm
SLS - Rare
Moment of Inertia of cracked section = 3438385003 mm4
Maximum compressive stress in concrete = 16.74 < 14.4 Mpa
Maximum tensile stress in steel = 472.943149 < 400 Mpa
SLS - Quasi
Given Data
Model Calculation for Member
Maximum BM under Basic combination = 583.76 kN-m 0.583 583000
Maximum SF = VNS 446.00 kN
Depth of member = D 600.00 mm
Width of the member = b 1000.00 mm 1
Grade of Concrete Used = M35
Grade of Steel = Fe500
Charactristic strength of concrete = Fck 35.00 Mpa
Charactristic strength of steel = Fy 500.00 Mpa
Tensile strength of steel = Fctm 2.80 Mpa
Design yeild strenght of shear reinforcement = Fywd 347.83 Mpa
Partial material safety factor for concrete = gm 1.50 Basic
Partial material safety factor for steel = gs 1.15 Basic
Ultimate compressive strain in concrete = ϵcu3 0.0035 Up to Fck
Modulus of elasticty of reinforcement of steel = Es 200000.00 Mpa
Modulus of elasticty of concrete = Ecm 32000.00 Mpa
Modular ratio = ɑe 6.25
Long term modular ration = ɑe 12.50
Ultimate tensile strain in the steel = ϵs 0.00
Coefficient to consider the influence of the concrete strength = a 0.67 Cube
Factor = l 0.80
Factor = h 1.00
Design value of concrete compressive strength = fcd 15.63
Factor = Fav 12.51
Factor = β 0.40
Effective depth of member = d 600.00 mm
= 540.00 mm 0.54
= Kav 0.16
Limiting Neutral axis depth = Xlim 333.10 mm
= X 92.69 mm < 333.1034
Required reinforcement = As 2666.20 mm2
Provide 14 Nos 16.00 mm 200.96
Provide renforcement = 2813.44 mm2 > 2666.204
Netral axis deth = x 97.81 mm < 333.1034
Xlim/d = 0.62
Rlim = 5.81
Effective depth required, drequired 316.74 mm
Effective depth provided, dprovided 540.00 mm
SLS - Quasi
Moment of Inertia of cracked section = 6876672199 mm4
Maximum compressive stress in concrete = 8.30277967 < 14.4 Mpa
Maximum tensile stress in steel = 469.221083 < 400 Mpa
Equivalent diameter Фeq = 18.2222 mm
Where spacing of bonded reinforcement with in the <= 275
tension zone
Wk = 0.63190887 < 0.3 mm
maximum cracking spacing, Sr max = 335.159615
Rr.eff = 0.0188
(esm - ecm) = 0.0018854 0.001408

Que 6) Draw rebars to the scale and therefore calculate the kg/cumec of the base slab.

Reinforcement Detail.

Your portfolio, next

Ship work like this
in your own course.

Talk to a career counsellor

Free 20-minute call. We'll map the right course to where you want to work.

By submitting you agree to our Terms and Privacy Policy.